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- Homework Statement:
- Find the equation of motion of a mass on a spring

- Relevant Equations:
- x(t) = Acos(ωt + φ)

This is a question from an exercise I don't have the answers to.

I have been trying to figure this out for a long time and don't know what to do after writing

mx''¨(t)=−kx(t)+mg

I figure that the frequency ω=√(k/m) since the mg term is constant and the kx term is the only term that changes.

I have the equation of motion written as x(t) = Acos(ωt + φ) but do not know how to go about finding the amplitude either.

Any help would be great thanks!

I have been trying to figure this out for a long time and don't know what to do after writing

mx''¨(t)=−kx(t)+mg

I figure that the frequency ω=√(k/m) since the mg term is constant and the kx term is the only term that changes.

I have the equation of motion written as x(t) = Acos(ωt + φ) but do not know how to go about finding the amplitude either.

Any help would be great thanks!